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An Introduction to Partial Differential Equations (Texts in Applied Mathematics) (v. 13), by Michael Renardy, Robert C. Rogers
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Partial differential equations are fundamental to the modeling of natural phenomena; they arise in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Unfortunately, in the standard graduate curriculum, the subject of partial differential equations is seldom taught with the same thoroughness as algebra or integration theory. The present book is aimed at rectifying this situation. It is based on a four-semester course taught at Virginia Polytechnic Institute and State University. The goal of this course was to provide the background necessary to initiate work on a PhD thesis in partial differential equations. The level of the book is aimed at beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables, but no knowledge is required of Lebesgue integration theory or functional analysis.
- Sales Rank: #2075816 in Books
- Published on: 1993-05
- Ingredients: Example Ingredients
- Original language: English
- Number of items: 1
- Dimensions: 9.75" h x 6.50" w x 1.00" l, .0 pounds
- Binding: Hardcover
- 448 pages
Most helpful customer reviews
14 of 17 people found the following review helpful.
An extremely well written introduction to PDEs
By A Customer
An Introduction to Partial Differential Equations by Renardy and Rogers is a very well written introduction to the huge and important area of PDEs. It covers both the classical and modern PDE theory on, compared with other expositions, a relatively low number of pages. Nevertheless, Renardy and Rogers succeed in introducing the most important concepts and explaining their interrelations, so that alltogether, the book provides the reader with the background necessary for diving safely into the more advanced literature on the subject.
It was a pleasure for me to read the book, and after nearly four years of work in PDEs, it is still my reference of choice. I would highly recommend it for students of mathematics and for mathematically inclined engineering students.
14 of 15 people found the following review helpful.
A very good book to learn about partial differential eqn's.
By A Customer
I found what I was looking for in this book to know enough about this huge theory of Partial Differential Equations. Contents of each chapter is clearly developed and no essential point is missed. If you are someone who seriously wants to learn more and apply PDE theory in your research, this book is worth picking. Although the title alludes to an introductory book bearing a simple approach, this book is far more than an introduction, and I would say some little background in PDE's would help.
9 of 13 people found the following review helpful.
The Best
By Francisco Coutinho
This book is the best book on advanced partial differential equations i know. It is almost self contained. Every definition is motivated. Examples are given. Buy it and enjoy
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